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Finding the Third Proportional to 174,645 and 262,988

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Solution

The third proportional to 174,645 and 262,988 is: 396,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,645 : 262,988 = 262,988 : x
  2. Step 2: Convert to fraction form
    174,645/262,988 = 262,988/x
  3. Step 3: Cross multiply
    174,645x = 262,988 × 262,988
  4. Step 4: Simplify right side
    174,645x = 69,162,688,144
  5. Step 5: Solve for x
    x = 69,162,688,144/174,645
  6. Step 6: Final answer
    x = 396,018.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.